【摘要】 研究了一类二维耗散非线性薛定谔方程初值问题解的时间衰减估计，其中非线性项为■为复常数，并且λ满足强耗散条件■.在初值大小不受限制的条件下，得到了上述二维耗散非线性薛定谔方程解的L~q-时间衰减估计，其中q>2.更多还原

【Abstract】 Time decay estimates of solutions to the initial value problem of nonlinear Schr?dinger equations in two space dimensions were studied, where the nonlinear term was ■ was a complex constant and λ satisfied the strong dissipative condition ■.We obtained the L~q-time decay estimates of the solutions to the above nonlinear Schr?dinger equations without assuming the size restriction on the initial data, where q>2.更多还原